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अर्कज
Subject: Maths
, asked on 4/5/18
Q.10. The Cartesian product A
$\times $
A has 9 elements among which are found (- 1, 0) and (0, 1). Find the set A and the remaining elements of A
$\times $
A.
Answer
1
अर्कज
Subject: Maths
, asked on 3/5/18
No links
Question No. 1
Two finite sets A and B have
$\lambda and\mu $
elements respectively. The number of elements in the power set of the A is 224 more than the total number of elements in the power set of B. What is the number of relations from A to B?
A.
${2}^{10}$
B.
${2}^{20}$
C.
${2}^{30}$
D.
${2}^{40}$
Answer
0
अर्कज
Subject: Maths
, asked on 3/5/18
Solve this:
Question No. 10 Use the following information to answer the next question.
A relation R on the set P = {5, 6, 7, 8, 9) is defined as R = {(x, y): the sum of x and y is a multiple of
4; x, y
$\in $
P}.
How can this relation be represented diagrammatically
Answer
0
अर्कज
Subject: Maths
, asked on 3/5/18
Solve this:
Question No. 8
If A = {x: x is a real number} and B = {0}, then the set (B
$\times $
A) is
A. the set containing the origin in two dimensional space
B. the set of all points lying on the x-axis in two-dimensional space
C. the set of all points lying on the y-axis in two-dimensional space
D. the set of all points on a coordinate plane in two-dimensional space
Answer
0
अर्कज
Subject: Maths
, asked on 3/5/18
$LetP=\{-3,-2,-1,0,1,2,3\}\phantom{\rule{0ex}{0ex}}Q=\left\{1,\frac{4}{3},\frac{12}{7},2,\frac{12}{5},3,4,5,6\right\}\phantom{\rule{0ex}{0ex}}ArelationRfromPtoQisdefinedas\phantom{\rule{0ex}{0ex}}R=\left\{(x,y):y=\frac{12}{x+3},x\in P,y\in Q\right\}\phantom{\rule{0ex}{0ex}}WhatarethedomainandrangeofrelationRrespectively?$
Answer
1
अर्कज
Subject: Maths
, asked on 3/5/18
Solve this:
$\mathit{Q}\mathit{u}\mathit{e}\mathit{s}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathbf{}\mathit{N}\mathit{o}\mathbf{.}\mathbf{}\mathbf{5}\mathbf{}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}If(A\cap B\text{'})\cup B=A,(A\cap C\text{'})\cup C=AandA\cap B=A\cap C,thenwhichofthefollowingrelationsistrue?\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}A.A=B\phantom{\rule{0ex}{0ex}}B.B=C\phantom{\rule{0ex}{0ex}}C.C=A\phantom{\rule{0ex}{0ex}}D.Noneofthese$
Answer
0
अर्कज
Subject: Maths
, asked on 3/5/18
Solve this:
Q. Use the following information to answer the next question.
A relation R from A to B is defined as
R = {(x, y) : (x - y) is a positive integer; x
$\in $
A, y
$\in $
B}, where A = {0, 1, 2, 7, 9, 13} and B = {3, 1, 2, 8}
The domain and range of the relation R are respectively
A. {9, 13} and {0}
B. {9, 13} and {1, 2, 3}
C. {0, 1, 2, 7} and {1, 2, 3, 8}
D. {2, 7, 9, 13} and {1, 2, 3, 8}
Answer
0
अर्कज
Subject: Maths
, asked on 3/5/18
Solve this:
Question No. 1
Two finite sets A and B have
$\lambda and\mu $
elements respectively. The number of elements in the power set of the A is 224 more than the total number of elements in the power set of B. What is the number of relations from A to B?
A.
${2}^{10}$
B.
${2}^{20}$
C.
${2}^{30}$
D.
${2}^{40}$
Answer
1
Megha
Subject: Maths
, asked on 2/5/18
Solve this:
Q. If A = { - 1, 1}, find
$A\times A\times A$
.
Answer
1
अर्कज ..
Subject: Maths
, asked on 2/5/18
Example 6
Q6. Example 6
. If A × B = {(p, q), (p, r), (m, q), (m, r) , find A and B.
Solution
A = set of first elements = { p, m}
B = set of second elements = {q, r).
Answer
1
अर्कज ..
Subject: Maths
, asked on 2/5/18
Example 4:
Example 4 If P={1,2}, form the set P x P x P.
Solution : we have, P x P x P=[(1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2,1), (2,2,2)}.
Answer
1
अर्कज ..
Subject: Maths
, asked on 2/5/18
Example 3) Let A={1,2,3}, B={3,4} and C={4,5,6}. Find
$\left(i\right)A\times \left(B\cap C\right)\left(ii\right)\left(A\times B\right)\cap \left(A\times C\right)\phantom{\rule{0ex}{0ex}}\left(iii\right)A\times \left(B\cup C\right)\left(iv\right)\left(A\times B\right)\cup \left(A\times C\right)$
Answer
1
अर्कज ..
Subject: Maths
, asked on 2/5/18
Example 2) If P={a,b,c} and Q={r,} form the sets
$P\times QandQ\times P$
. Are these two products equal?
Answer
1
Ms Eccentric
Subject: Maths
, asked on 2/5/18
Please explain this question in detail.
Q. Find the angle between the vectors given in the following figures.
(i)
(ii)
(iii)
(iv)
Answer
2
अर्कज ..
Subject: Maths
, asked on 1/5/18
Example 1-If (x + l, y - 2) = (3, l), find the values Of x and y.
Answer
1
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Question No. 1

Two finite sets A and B have $\lambda and\mu $ elements respectively. The number of elements in the power set of the A is 224 more than the total number of elements in the power set of B. What is the number of relations from A to B?

A. ${2}^{10}$

B. ${2}^{20}$

C. ${2}^{30}$

D. ${2}^{40}$

Question No. 10 Use the following information to answer the next question.

A relation R on the set P = {5, 6, 7, 8, 9) is defined as R = {(x, y): the sum of x and y is a multiple of

4; x, y $\in $ P}.

How can this relation be represented diagrammatically

Question No. 8If A = {x: x is a real number} and B = {0}, then the set (B $\times $ A) is

A. the set containing the origin in two dimensional space

B. the set of all points lying on the x-axis in two-dimensional space

C. the set of all points lying on the y-axis in two-dimensional space

D. the set of all points on a coordinate plane in two-dimensional space

$\mathit{Q}\mathit{u}\mathit{e}\mathit{s}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathbf{}\mathit{N}\mathit{o}\mathbf{.}\mathbf{}\mathbf{5}\mathbf{}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}If(A\cap B\text{'})\cup B=A,(A\cap C\text{'})\cup C=AandA\cap B=A\cap C,thenwhichofthefollowingrelationsistrue?\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}A.A=B\phantom{\rule{0ex}{0ex}}B.B=C\phantom{\rule{0ex}{0ex}}C.C=A\phantom{\rule{0ex}{0ex}}D.Noneofthese$

Q. Use the following information to answer the next question.

A relation R from A to B is defined as

R = {(x, y) : (x - y) is a positive integer; x $\in $ A, y $\in $ B}, where A = {0, 1, 2, 7, 9, 13} and B = {3, 1, 2, 8}

The domain and range of the relation R are respectively

A. {9, 13} and {0}

B. {9, 13} and {1, 2, 3}

C. {0, 1, 2, 7} and {1, 2, 3, 8}

D. {2, 7, 9, 13} and {1, 2, 3, 8}

Question No. 1

Two finite sets A and B have $\lambda and\mu $ elements respectively. The number of elements in the power set of the A is 224 more than the total number of elements in the power set of B. What is the number of relations from A to B?

A. ${2}^{10}$

B. ${2}^{20}$

C. ${2}^{30}$

D. ${2}^{40}$

Q. If A = { - 1, 1}, find $A\times A\times A$.

Q6. Example 6. If A × B = {(p, q), (p, r), (m, q), (m, r) , find A and B.SolutionA = set of first elements = { p, m}B = set of second elements = {q, r).

Example 4 If P={1,2}, form the set P x P x P.

Solution : we have, P x P x P=[(1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2,1), (2,2,2)}.

$\left(i\right)A\times \left(B\cap C\right)\left(ii\right)\left(A\times B\right)\cap \left(A\times C\right)\phantom{\rule{0ex}{0ex}}\left(iii\right)A\times \left(B\cup C\right)\left(iv\right)\left(A\times B\right)\cup \left(A\times C\right)$

Q. Find the angle between the vectors given in the following figures.

(i)

(ii)

(iii)

(iv)